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Finding the Fourth Proportional to 16,471.36, 22,733.60 and 10,186.56

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Solution

The fourth proportional to 16,471.36, 22,733.60 and 10,186.56 is: 14,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.36 : 22,733.60 = 10,186.56 : x
  2. Step 2: Convert to fraction form
    16,471.36/22,733.60 = 10,186.56/x
  3. Step 3: Cross multiply
    16,471.36x = 22,733.60 × 10,186.56
  4. Step 4: Simplify right side
    16,471.36x = 231,577,180.42
  5. Step 5: Solve for x
    x = 231,577,180.42/16,471.36
  6. Step 6: Final answer
    x = 14,059.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.